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Finding the Third Proportional to 5,099,864 and 11,096,968

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Solution

The third proportional to 5,099,864 and 11,096,968 is: 24,146,271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099,864 : 11,096,968 = 11,096,968 : x
  2. Step 2: Convert to fraction form
    5,099,864/11,096,968 = 11,096,968/x
  3. Step 3: Cross multiply
    5,099,864x = 11,096,968 × 11,096,968
  4. Step 4: Simplify right side
    5,099,864x = 123,142,698,793,024
  5. Step 5: Solve for x
    x = 123,142,698,793,024/5,099,864
  6. Step 6: Final answer
    x = 24,146,271.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.